%0 Journal Article %A Campoamor Stursberg, Otto-Rudwig %A Oviaño García, Francisco %T Some features of rank one real solvable cohomologically rigid lie algebras with a nilradical contracting onto the model filiform lie algebra Qn %D 2019 %@ 2075-1680 %U https://hdl.handle.net/20.500.14352/13161 %X The generic structure and some peculiarities of real rank one solvable Lie algebras possessing a maximal torus of derivations with the eigenvalue spectrum spec(t) =(1, k, k +1, ..., n + k-3, n +2k -3) for k [mayor o igual] 2 are analyzed, with special emphasis on the resulting Liealgebras for which the second Chevalley cohomology space vanishes. From the detailed inspection ofthe values k [menor o igual] 5, some series of cohomologically rigid algebras for arbitrary values of k are determined. %~